ABG regular black holes modify the lifetimes of charged Dirac quasibound states relative to RN but keep the modes damped without producing superradiant instability in the explored parameter range.
The problem of embedded eigenvalues for the Dirac equation in the Schwarzschild black hole metric
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abstract
We use the Dirac equation in a fixed black hole background and different independent techniques to demonstrate the absence of fermionic bound states around a Schwarzschild black hole. In particular, we show that no embedded eigenvalues exist which have been claimed for the case when the energy is less than the particle's mass. We explicitly prove that the claims regarding the embedded eigenvalues can be traced back to an oversimplified approximation in the calculation. We conclude that no bound states exist regardless the value of the mass.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Quasibound states of a charged Dirac field around regular black holes
ABG regular black holes modify the lifetimes of charged Dirac quasibound states relative to RN but keep the modes damped without producing superradiant instability in the explored parameter range.